1TH/vwo §11.4 Linear formulas

• Wiskunde
• Middelbare school
• havo, vwo
• Leerjaar 1

§11.4 Linear formulas

The main goal in this paragraph is: 

 Learning how to MAKE a FORMULA for a LINEAR GRAPH!

But first a few Freshen Up Tasks about last lessons content (§11.3).

See next slide!

shorten: v = 6d - 5c

1. v = 1 cd
2. v = 11cd
3. impossible
4. v = 1 cd squared

shorten:
p = 2 x h x h + 4 h squared

1. p = 6h
2. p = 8 h squared
3. impossible
4. p = 6 h squared

d = 4 - 5k -6 + 3k

1. d = 2 - 2k
2. d = -2 - 2k
3. d = 10 + 8k
4. d = -2 + 9k

In §11.4 a lot of information is used from...

Ch6 Formulas and Graphs !

It's only understandable that you don't know all about it

any more. (Or do you?)

That's why we will look back at the content of Ch6 now.

Try to answer the question in the next slide.

What is a linear graph?

A linear graph is a straight line

in a coordinate system.

Next slide also gives a description.

In the previous slide the FORMULA was already given.

However how to find this FORMULA ourselves if we only have a GRAPH?

In the next slide the Method is

put into practice!

Remember that this

is all 'old stuff' from book 1A, Ch6.

To do §11.4 succesfully, you need to know this!

Only now we enter Ch11, §11.4

Task for you:

+ Open your Notebook and Textbook 1B, p.182

+ Get from your pencil case: 

    pencil, pen, geo, eraser

Something new about the Coordinate system(1):

Something new about the Coordinate system (2):

Schermafbe

In which quadrant have you been working up to now?

1. 4
2. 3
3. 2
4. 1

Watch: the POSITIVE NUMBERS

are used for the 1st Quadrant.

And the 1st Quadrant is the one that

you've used up to now.

But this gonna change soon...

Now more about Formulas and Graphs:

Here you see the graph 

that belongs to the Formula!

Time for the Treat of the Day:

MAKING a Formula for a Graph.

However, this Lesson Up wouldn't be complete 

without a Joke.

Making a FORMULA for this graph...

is exactly what you're going to learn now!

 In the next slide this Method is put into practice again.

After this you are going to work out these steps yourself!

 om 19.56.

TASK:

Make a FORMULA for the GRAPH!

How?

+  Open your Notebook.

+  Open your Textbook on p.187 so you can look

     back at the METHOD

+  You're going WORK OUT the 4 STEPS that

    we just studied

Step 1=FOTOVRAAG (next slide)

Step 1:

Make a TABLE 

in your Notebook 

with values you can

read off exactly! 

(for this graph only 3 values for x and 3 for y)

Take a pic and send it in.

The TABLE (step 1):

Solution Step 1:

Step 2:
Read of the Start number.
Do this from the Table you made!

1. 6
2. 2
3. -6
4. 3

Solution Step 2:

The goes through the Vertical

axis at height -6. 

That's why.

The coordinates (0, -6) from the table

also give you this information.

Step 3:
How much does the graph rise or fall per horizontal step of 1?
Read this off from your Table (or from the graph).

1. 2
2. 3
3. -6
4. 6

Solution step 3:

Step 4:
The Formula is: ....................

1. y = 6x - 3
2. 3x - 6 = y
3. x = 3y - 6
4. y = - 6 + 3x

Solution step 4:

the Formula is:

y = 3x - 6                  or:             3x - 6 = y     

 or  also:                                      -6 + 3x = y

Looking back ....

- did you do great, or

- did you miss out on these tasks?

- most important is to try hard, so that you learn a lot,

- you probably really begin to understand it when doing your homework! 

Homework:

§ 11.4 Linear formulas

H/V     choose the Support or Standard path

VWO: choose the Challenge path

Two points of attention:

  1st:      use the four steps Method from p.187/188. and

  2nd:    send in your corrected work in GC

Send in the lot in GC as usual!